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Simplifying 6x + 23 + -1x = 108 + -2x + 13 Reorder the terms: 23 + 6x + -1x = 108 + -2x + 13 Combine like terms: 6x + -1x = 5x 23 + 5x = 108 + -2x + 13 Reorder the terms: 23 + 5x = 108 + 13 + -2x Combine like terms: 108 + 13 = 121 23 + 5x = 121 + -2x Solving 23 + 5x = 121 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 23 + 5x + 2x = 121 + -2x + 2x Combine like terms: 5x + 2x = 7x 23 + 7x = 121 + -2x + 2x Combine like terms: -2x + 2x = 0 23 + 7x = 121 + 0 23 + 7x = 121 Add '-23' to each side of the equation. 23 + -23 + 7x = 121 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 121 + -23 7x = 121 + -23 Combine like terms: 121 + -23 = 98 7x = 98 Divide each side by '7'. x = 14 Simplifying x = 14
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